Finding the Fourth Proportional to 1,003.57, 1,385.22 and 584.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.57 : 1,385.22 = 584.02 : x
2. Step 2: Convert to fraction form
   1,003.57/1,385.22 = 584.02/x
3. Step 3: Cross multiply
   1,003.57x = 1,385.22 × 584.02
4. Step 4: Simplify right side
   1,003.57x = 808,996.18
5. Step 5: Solve for x
   x = 808,996.18/1,003.57
6. Step 6: Final answer
   x = 806.12